Answer:
0.1241
Explanation:
Given that:
Critical path = 37 days
Variance total = 27 days
Completion date (x) = 43 days
We obtain the Zscore :
Zscore = (x - critical path) / variance total
Zscore = (43 - 37) / √27
Zscore = 6 / √27
Zscore = 1.1547
Zscore = 1.155
Hence, probability of completing in 43 days :
P(Z > 43) = 1 - P(Z < 43)
P(Z < 43) = 0.8759
P(Z > 43) = 1 - 0.8759 = 0.1241